. Explains the theory behind a thermodynamically-consistent construction of non-linear evolution equations for non-equilibrium processes, based on supplementing the second law with a maximum dissipation criterion
. Provides a geometric setting for non-equilibrium thermodynamics in differential topology and, in particular, contact structures that generalize Gibbs
. Models processes that include thermoviscoelasticity, thermoviscoplasticity, thermoelectricity and dynamic fracture
. Recovers several standard time-dependent constitutive models as maximum dissipation processes
. Produces transport models that predict finite velocity of propagation
. Emphasizes applications to the time-dependent modeling of soft biological tissue
Maximum Dissipation Non-Equilibrium Thermodynamics and its Geometric Structure will be valuable for researchers, engineers and graduate students in non-equilibrium thermodynamics and the mathematical modeling of material behavior.
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"The author presents his construction of a geometric model for non-equilibrium thermodynamics and his maximum dissipation criterion which is assumed to complement the second law of thermodynamics. ... the author explores different concrete situations where his construction of a maximum dissipation criterion may be applied. ... This book will be interesting for researchers involved either in applied mathematics or in mechanics." (Alain Brillard, Zentralblatt MATH, Vol. 1222, 2011)